Application of metric entropy for results interpretation of composite materials mechanical tests

• Autorzy: Garbacz G. , Kyzioł L.

Identyfikatory

DOI

10.1515/adms-2017-0006

• Języki publikacji: EN

Abstrakty

EN

In this paper the results of mechanical studies of the Aropol 536 composite on the epoxy-resin base are described. The aim of the studies was to measure elastic-plastic changes in the composite during its deformation. The obtained results were analyzed using Kolmogorov-Sinai metric entropy. The entropy was computed applying phase portraits reconstructed from a phase plane using delayed coordinates. Resolution of the particular experimental setup limits the number of the acquired data points, i.e., from several to tens of thousands of points and it has significant influence on accuracy of the obtained results. In conclusion, in the tested composites elastic-plastic deformations are periodic and repeat in a distinctive way in a wide range of deformations of the sample. Deformation of the elastic-plastic composite are associated with its complex structure and studies of its mechanical properties require more advanced methods such as use of Kolmogorov-Sinai metric entropy.

Słowa kluczowe

EN

composite; elastic-plastic deformation; Kolmogorov-Sinai metric entropy; phase plane

PL

odkształcenia elastyczno-plastyczne; entropia metryczna Kolmogorova-Sinai; płaszczyzna fazowa

• Wydawca: Politechnika Gdańska
• Czasopismo: Advances in Materials Science
• Rocznik: 2017
• Tom: Vol. 17, nr 1(51)
• Strony: 70--81
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr., tab., fot.

Twórcy

autor

Garbacz G.

• Opole University of Technology, Faculty of Production Engineering and Logistics, Opole, Poland

autor

Kyzioł L.

• Gdynia Maritime University, Faculty of Mechanical Engineering, Gdynia, Poland

Bibliografia

• 1. Dietrich L., Garbacz G., Deterministic Chaos Appearing in the Testing Machines during the Stretching Test of Structural Materials, The 10th Experimental Chaos Conference, Facolta di Ingegneria Universita degli Studi di Catania, June 3-6, 2008.
• 2. Garbacz G., Kyzioł L., Determination of yield point of structural materials with using the metric entropy, Journal of KONES Powertrain and Transport, 21 (3), 97 -104.
• 3. Garbacz G., Chaos Theory and Mechanical Engeneering - Monography (in Polish) ISBN 978-83-64056-35-2, Oficyna Wydawnicza Politechniki Opolskiej, Opole 2013.
• 4. Kolmogorov A.N., Entropy per unit Time as a Metric Invariant of Automorphism, Doklady of Russian Academy of Sciences, 124 (1959), 754-755.
• 5. Kyzioł L, Jastrzębska M., Determination of some mechanical properties of the waste composite materials (in Polish). Logistyka 3 (2015), 2758-2763.
• 6. Kyzioł L., Reinforcing wood by surface modification, Composite Structures, Logistyka, 6 (2015), 2758-2763.
• 7. Sinai Ya.G., On the Notion of Entropy of a Dynamical System, Doklady of Russian Academy of Sciences, 124 (1959), 768-771.
• 8. Takens F., Detecting Strange Attractors in Turbulence, Dynamical Systems and Turbulence, Warwick 1980, Lecture Notes in Math. 898, Springer-Verlag, 366-381 (1981).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).